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What is the Least Common Multiple of 48350 and 48364?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 48350 and 48364 is 1169199700.

LCM(48350,48364) = 1169199700

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Least Common Multiple of 48350 and 48364 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48350 and 48364, than apply into the LCM equation.

GCF(48350,48364) = 2
LCM(48350,48364) = ( 48350 × 48364) / 2
LCM(48350,48364) = 2338399400 / 2
LCM(48350,48364) = 1169199700

Least Common Multiple (LCM) of 48350 and 48364 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48350 and 48364. First we will calculate the prime factors of 48350 and 48364.

Prime Factorization of 48350

Prime factors of 48350 are 2, 5, 967. Prime factorization of 48350 in exponential form is:

48350 = 21 × 52 × 9671

Prime Factorization of 48364

Prime factors of 48364 are 2, 107, 113. Prime factorization of 48364 in exponential form is:

48364 = 22 × 1071 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 48350 and 48364.

LCM(48350,48364) = 22 × 52 × 9671 × 1071 × 1131
LCM(48350,48364) = 1169199700